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216233836 = 227134114489
BaseRepresentation
bin11001110001101…
…11011101101100
3120001212211001121
430320313131230
5420323440321
633242350324
75233646230
oct1470673554
9501784047
10216233836
11101070755
12604bb3a4
1335a4c420
1420a0a5c0
1513eb4441
hexce3776c

216233836 has 48 divisors (see below), whose sum is σ = 477126720. Its totient is φ = 83450880.

The previous prime is 216233807. The next prime is 216233861. The reversal of 216233836 is 638332612.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7680 + ... + 22168.

It is an arithmetic number, because the mean of its divisors is an integer number (9940140).

Almost surely, 2216233836 is an apocalyptic number.

216233836 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216233836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238563360).

216233836 is an abundant number, since it is smaller than the sum of its proper divisors (260892884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

216233836 is a wasteful number, since it uses less digits than its factorization.

216233836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14554 (or 14552 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 216233836 is about 14704.8915670943. The cubic root of 216233836 is about 600.2164367307.

The spelling of 216233836 in words is "two hundred sixteen million, two hundred thirty-three thousand, eight hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 41 52 82 91 164 182 287 364 533 574 1066 1148 2132 3731 7462 14489 14924 28978 57956 101423 188357 202846 376714 405692 594049 753428 1188098 1318499 2376196 2636998 4158343 5273996 7722637 8316686 15445274 16633372 30890548 54058459 108116918 216233836